2012/04/10 by Colin Diemer, Ludmil Katzarkov, Diemer, Colin +3 · 1 citation
Mathematics · #14E30 #53D05 #53D37 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1204.2233
openalex publication_date 2012/04/10 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
In this paper, we describe explicit relations in the symplectomorphism groups\nof toric hypersurfaces. To define the elements involved, we construct a proper\nstack of toric hypersurfaces with compactifying boundary representing toric\nhypersurface degenerations. Our relations arise through the study of the one\ndimensional strata of this stack. The results are then examined from the\nperspective of homological mirror symmetry where we view sequences of relations\nas maximal degenerations of Landau-Ginzburg models. We then study the B-model\nmirror to these degenerations, which gives a new mirror symmetry approach to\nthe minimal model program.\n